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Finding the Fourth Proportional to 71,380.64, 107,051.83 and 21,449.61

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Solution

The fourth proportional to 71,380.64, 107,051.83 and 21,449.61 is: 32,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380.64 : 107,051.83 = 21,449.61 : x
  2. Step 2: Convert to fraction form
    71,380.64/107,051.83 = 21,449.61/x
  3. Step 3: Cross multiply
    71,380.64x = 107,051.83 × 21,449.61
  4. Step 4: Simplify right side
    71,380.64x = 2,296,219,949.66
  5. Step 5: Solve for x
    x = 2,296,219,949.66/71,380.64
  6. Step 6: Final answer
    x = 32,168.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.